Bribery in Team Persuasion Clause Samples

Bribery in Team Persuasion. ‌ In Section 4.3, we have defined the basic setup of team persuasion games, and motivated how each agent probabilistically updates the state of its arguments in each round. In Section 4.4, we provided a solution for what it means for a team to win given the acceptability of the topic, and the probability for each team to reach its goal state (i.e., Questions D1 and D2). We now consider: what if in between rounds, an external agent who is not part of the game can choose to bribe one of the agents in the game to change the status of its argument (i.e. from on to off or off to on). We now motivate and answer Questions D3 and D4 from Section 4.1. Remark 4.5.1. All examples in this section assume all agents are 1-agents with w1 = 1 and distributed uniformly across its attackers. We further assume games are synchronous. However, generalisations for games in which there are no independence of partitions (asynchronous games or synchronous games with wi > 0 for some even i.), are immediate (see Remark 4.5.6).
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